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I am trying to understand when to use Volterra series.I found this on wikipedia 'The Volterra series is a model for non-linear behavior similar to the Taylor series. It differs from the Taylor series in its ability to capture 'memory' effects.' My question is: why can't Taylor series capture memory effects? More generally, when do you decide to approximate a function with Taylor series, when with a Volterra series, and when with neither? Thanks in advance.

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